Abstract Algebra by Paul Garrett

Overview & Synopsis

This note on Abstract Algebra
by Paul Garrett covers the topics like The integers, Groups, The players:
rings, fields , Commutative rings , Linear Algebra :Dimension, Fields, Some
Irreducible Polynomials, Cyclotomic polynomials, Finite fields, Modules over
PIDs, Finitely generated modules, Polynomials over UFDs, Symmetric groups, Naive
Set Theory, Symmetric polynomials, Eisenstein criterion, Vandermonde
determinant, Cyclotomic polynomials, Roots of unity, Cyclotomic, Primes
in arithmetic progressions, Galois theory, Solving equations by radicals, Eigen
vectors, Spectral Theorems, Duals, naturality, bilinear forms, Determinants,
Tensor products and Exterior powers.